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Calculate Rayleigh - Schrodinger perturbation series for the Barbanis potential

Hamiltonian for this two-dimensional anharmonic oscillator has the form:
H = px2/2 + py2/2 + wx2 x2/2 + wy2 y2/2 + g(1/2) x y2, where wx, wy are frequences of small harmonic normal-mode vibrations, and g is a small perturbation parameter.

The energy is expanded in powers of g:
E(g) = E0 + E1 g + ... + EN gN, where
      E0 = (nx + 1/2)wx + (ny + 1/2)wy is unperturbed harmonic-oscillator energy,
      nx and ny are the harmonic oscillator quantum numbers, and
      N is the order of perturbation theory.

Enter the oscillator quantum numbers nx =
ny = 		nx=ny=0 for the ground state, 1,2,3,... for excited states
Enter the frequences of vibrations wx =
wy = 		Integer, rational or floating-point
Enter the order of perturbation theory N = N = 1,2,3,...
Enter the working precision 16 for standard machine precision, 17,18,19,... for multiple precision, 0 for exact calculations

Download a text of the Mathematica program that is used for this calculation

19 coefficients for nx=9, ny=1, wx=1, wy=11/10 in exact form calculated earlier.

4 coefficients for nx=9, ny=1, wx=1 and arbitrary wy in exact form calculated earlier.

110 coefficients for wx=1, wy=1.1, and nx=0, nx=0, nx=0, nx=1, nx=0, nx=2, nx=0, nx=4, nx=1, nx=0, nx=1, nx=2, nx=2, nx=0, nx=2, nx=1, nx=2, nx=2, nx=3, nx=0, nx=3, nx=1, nx=4, nx=0, nx=5, nx=0, calculated earlier.

Calculate Rayleigh - Schrodinger perturbation series for various quantum-mechanical problems Directory of Sergeev's files Designed by A. Sergeev

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